The toughness of Kneser graphs

2021 ◽  
Vol 344 (9) ◽  
pp. 112484
Author(s):  
Davin Park ◽  
Anthony Ostuni ◽  
Nathan Hayes ◽  
Amartya Banerjee ◽  
Tanay Wakhare ◽  
...  
Keyword(s):  
2021 ◽  
Vol 344 (7) ◽  
pp. 112430
Author(s):  
Johann Bellmann ◽  
Bjarne Schülke
Keyword(s):  

2021 ◽  
Vol 344 (4) ◽  
pp. 112302
Author(s):  
Hamid Reza Daneshpajouh ◽  
József Osztényi

Author(s):  
Chris Godsil ◽  
Gordon Royle
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10.37236/8787 ◽  
2019 ◽  
Vol 26 (4) ◽  
Author(s):  
Claude Tardif ◽  
Xuding Zhu

We prove that $\min\{\chi(G), \chi(H)\} - \chi(G\times H)$ can be arbitrarily large, and that if Stahl's conjecture on the multichromatic number of Kneser graphs holds, then $\min\{\chi(G), \chi(H)\}/\chi(G\times H) \leq 1/2 + \epsilon$ for large values of $\min\{\chi(G), \chi(H)\}$.


Author(s):  
Ignacio García-Marco ◽  
Kolja Knauer ◽  
Luis Pedro Montejano
Keyword(s):  

2019 ◽  
Vol 343 ◽  
pp. 258-267
Author(s):  
C. Balbuena ◽  
X. Marcote

2008 ◽  
Vol 12 (4) ◽  
pp. 887-900 ◽  
Author(s):  
Bor-Liang Chen ◽  
Kuo-Ching Huang
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